772933 has 4 divisors (see below), whose sum is σ = 883360. Its totient is φ = 662508.

The previous prime is 772921. The next prime is 772949. The reversal of 772933 is 339277.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 339277 = 157 ⋅2161.

It is a de Polignac number, because none of the positive numbers 2^k-772933 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 772895 and 772904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772903) by changing a digit.

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, 55203 + ... + 55216.

It is an arithmetic number, because the mean of its divisors is an integer number (220840).

2⁷⁷²⁹³³ is an apocalyptic number.

It is an amenable number.

772933 is a deficient number, since it is larger than the sum of its proper divisors (110427).

772933 is a wasteful number, since it uses less digits than its factorization.

772933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110426.

The product of its digits is 7938, while the sum is 31.

The square root of 772933 is about 879.1660821483. The cubic root of 772933 is about 91.7727931551.

The spelling of 772933 in words is "seven hundred seventy-two thousand, nine hundred thirty-three".