772033 has 4 divisors (see below), whose sum is σ = 778240. Its totient is φ = 765828.

The previous prime is 772019. The next prime is 772061. The reversal of 772033 is 330277.

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: 330277 = 19 ⋅17383.

It is a cyclic number.

It is not a de Polignac number, because 772033 - 2⁵ = 772001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 771995 and 772013.

It is not an unprimeable number, because it can be changed into a prime (772003) 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, 2913 + ... + 3166.

It is an arithmetic number, because the mean of its divisors is an integer number (194560).

2⁷⁷²⁰³³ is an apocalyptic number.

It is an amenable number.

772033 is a deficient number, since it is larger than the sum of its proper divisors (6207).

772033 is a wasteful number, since it uses less digits than its factorization.

772033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6206.

The product of its (nonzero) digits is 882, while the sum is 22.

The square root of 772033 is about 878.6540843813. The cubic root of 772033 is about 91.7371593669.

The spelling of 772033 in words is "seven hundred seventy-two thousand, thirty-three".