77697 has 12 divisors (see below), whose sum is σ = 114660. Its totient is φ = 50688.

The previous prime is 77689. The next prime is 77699. The reversal of 77697 is 79677.

It can be written as a sum of positive squares in 2 ways, for example, as 24336 + 53361 = 156^2 + 231^2 .

It is not a de Polignac number, because 77697 - 2³ = 77689 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (18522) is a multiple of the sum of its prime divisors (189).

It is not an unprimeable number, because it can be changed into a prime (77699) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 753 + ... + 849.

It is an arithmetic number, because the mean of its divisors is an integer number (9555).

2⁷⁷⁶⁹⁷ is an apocalyptic number.

It is an amenable number.

77697 is a deficient number, since it is larger than the sum of its proper divisors (36963).

77697 is a wasteful number, since it uses less digits than its factorization.

77697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 189 counting only the distinct ones).

The product of its digits is 18522, while the sum is 36.

The square root of 77697 is about 278.7418160234. The cubic root of 77697 is about 42.6711895704.

It can be divided in two parts, 7769 and 7, that added together give a 5-th power (7776 = 6⁵).

The spelling of 77697 in words is "seventy-seven thousand, six hundred ninety-seven".