972532 has 36 divisors (see below), whose sum is σ = 2001888. Its totient is φ = 409200.

The previous prime is 972493. The next prime is 972533. The reversal of 972532 is 235279.

It is a d-powerful number, because it can be written as 9⁵ + 7⁷ + 5⁴ + 2¹² + 3⁹ + 2¹⁶ .

It is a self number, because there is not a number n which added to its sum of digits gives 972532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31357 + ... + 31387.

It is an arithmetic number, because the mean of its divisors is an integer number (55608).

2⁹⁷²⁵³² is an apocalyptic number.

972532 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

972532 is an abundant number, since it is smaller than the sum of its proper divisors (1029356).

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

972532 is a wasteful number, since it uses less digits than its factorization.

972532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 67 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 972532 is about 986.1703706764. The cubic root of 972532 is about 99.0758864474.

The spelling of 972532 in words is "nine hundred seventy-two thousand, five hundred thirty-two".