253746 has 32 divisors (see below), whose sum is σ = 583680. Its totient is φ = 81648.

The previous prime is 253741. The next prime is 253751. The reversal of 253746 is 647352.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (253741) and next prime (253751).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (253741) by changing a digit.

253746 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1935 + ... + 2061.

It is an arithmetic number, because the mean of its divisors is an integer number (18240).

2²⁵³⁷⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291840).

253746 is an abundant number, since it is smaller than the sum of its proper divisors (329934).

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

253746 is a wasteful number, since it uses less digits than its factorization.

253746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 253746 is about 503.7320716413. The cubic root of 253746 is about 63.3091381879.

It can be divided in two parts, 253 and 746, that added together give a palindrome (999).

The spelling of 253746 in words is "two hundred fifty-three thousand, seven hundred forty-six".