97772 has 6 divisors (see below), whose sum is σ = 171108. Its totient is φ = 48884.

The previous prime is 97771. The next prime is 97777. The reversal of 97772 is 27779.

97772 = T₇₈ + T₇₉ + ... + T₁₀₁.

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (97771) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12218 + ... + 12225.

It is an arithmetic number, because the mean of its divisors is an integer number (28518).

2⁹⁷⁷⁷² is an apocalyptic number.

It is an amenable number.

97772 is a deficient number, since it is larger than the sum of its proper divisors (73336).

97772 is a wasteful number, since it uses less digits than its factorization.

97772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24447 (or 24445 counting only the distinct ones).

The product of its digits is 6174, while the sum is 32.

The square root of 97772 is about 312.6851451540. The cubic root of 97772 is about 46.0685807529.

It can be divided in two parts, 9777 and 2, that added together give a palindrome (9779).

The spelling of 97772 in words is "ninety-seven thousand, seven hundred seventy-two".