97972 has 12 divisors (see below), whose sum is σ = 196000. Its totient is φ = 41976.

The previous prime is 97967. The next prime is 97973. The reversal of 97972 is 27979.

97972 is nontrivially palindromic in base 11.

97972 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

97972 is an admirable number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

97972 is an undulating number in base 11.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97973) by changing a digit.

97972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1722 + ... + 1777.

2⁹⁷⁹⁷² is an apocalyptic number.

It is an amenable number.

97972 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98000).

97972 is a wasteful number, since it uses less digits than its factorization.

97972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3508 counting only the distinct ones).

The product of its digits is 7938, while the sum is 34.

The square root of 97972 is about 313.0047922956. The cubic root of 97972 is about 46.0999716106.

The spelling of 97972 in words is "ninety-seven thousand, nine hundred seventy-two".