77933 has 2 divisors, whose sum is σ = 77934. Its totient is φ = 77932.

The previous prime is 77929. The next prime is 77951. The reversal of 77933 is 33977.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64009 + 13924 = 253^2 + 118^2 .

It is a cyclic number.

It is not a de Polignac number, because 77933 - 2² = 77929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77896 and 77905.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38966 + 38967.

It is an arithmetic number, because the mean of its divisors is an integer number (38967).

2⁷⁷⁹³³ is an apocalyptic number.

It is an amenable number.

77933 is a deficient number, since it is larger than the sum of its proper divisors (1).

77933 is an equidigital number, since it uses as much as digits as its factorization.

77933 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3969, while the sum is 29.

The square root of 77933 is about 279.1648258646. The cubic root of 77933 is about 42.7143496317.

Subtracting from 77933 its reverse (33977), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 77933 in words is "seventy-seven thousand, nine hundred thirty-three".