7697952 has 36 divisors (see below), whose sum is σ = 21891870. Its totient is φ = 2565888.

The previous prime is 7697947. The next prime is 7697969. The reversal of 7697952 is 2597967.

It can be written as a sum of positive squares in only one way, i.e., 6170256 + 1527696 = 2484^2 + 1236^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 7697898 and 7697907.

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 13077 + ... + 13652.

Almost surely, 2^7697952 is an apocalyptic number.

7697952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7697952 is an abundant number, since it is smaller than the sum of its proper divisors (14193918).

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

7697952 is a wasteful number, since it uses less digits than its factorization.

7697952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26745 (or 26734 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 7697952 is about 2774.5183365766. The cubic root of 7697952 is about 197.4505735419.

It can be divided in two parts, 7697 and 952, that added together give a square (8649 = 93²).

The spelling of 7697952 in words is "seven million, six hundred ninety-seven thousand, nine hundred fifty-two".