958972 has 24 divisors (see below), whose sum is σ = 1985760. Its totient is φ = 396480.

The previous prime is 958967. The next prime is 958973. The reversal of 958972 is 279859.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (958973) by changing a digit.

958972 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 7 ways as a sum of consecutive naturals, for example, 222 + ... + 1402.

It is an arithmetic number, because the mean of its divisors is an integer number (82740).

2⁹⁵⁸⁹⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 958972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992880).

958972 is an abundant number, since it is smaller than the sum of its proper divisors (1026788).

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

958972 is a wasteful number, since it uses less digits than its factorization.

958972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1219 counting only the distinct ones).

The product of its digits is 45360, while the sum is 40.

The square root of 958972 is about 979.2711575452. The cubic root of 958972 is about 98.6132583690.

The spelling of 958972 in words is "nine hundred fifty-eight thousand, nine hundred seventy-two".