925152 has 48 divisors (see below), whose sum is σ = 2540160. Its totient is φ = 294272.

The previous prime is 925147. The next prime is 925153. The reversal of 925152 is 251529.

925152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 925152.

It is not an unprimeable number, because it can be changed into a prime (925153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1999 + ... + 2417.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

2⁹²⁵¹⁵² is an apocalyptic number.

925152 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 925152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080).

925152 is an abundant number, since it is smaller than the sum of its proper divisors (1615008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

925152 is a wasteful number, since it uses less digits than its factorization.

925152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 447 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 925152 is about 961.8482208748. The cubic root of 925152 is about 97.4400946934.

The spelling of 925152 in words is "nine hundred twenty-five thousand, one hundred fifty-two".