971952 has 20 divisors (see below), whose sum is σ = 2511000. Its totient is φ = 323968.

The previous prime is 971951. The next prime is 971959. The reversal of 971952 is 259179.

971952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (971951) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10077 + ... + 10172.

It is an arithmetic number, because the mean of its divisors is an integer number (125550).

2⁹⁷¹⁹⁵² is an apocalyptic number.

It is an amenable number.

971952 is an abundant number, since it is smaller than the sum of its proper divisors (1539048).

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

971952 is a wasteful number, since it uses less digits than its factorization.

971952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20260 (or 20254 counting only the distinct ones).

The product of its digits is 5670, while the sum is 33.

The square root of 971952 is about 985.8762599840. The cubic root of 971952 is about 99.0561868586.

The spelling of 971952 in words is "nine hundred seventy-one thousand, nine hundred fifty-two".