772533 has 6 divisors (see below), whose sum is σ = 1115894. Its totient is φ = 515016.

The previous prime is 772517. The next prime is 772537. The reversal of 772533 is 335277.

It can be written as a sum of positive squares in only one way, i.e., 762129 + 10404 = 873^2 + 102^2 .

It is not a de Polignac number, because 772533 - 2⁴ = 772517 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 772497 and 772506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772537) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42910 + ... + 42927.

2⁷⁷²⁵³³ is an apocalyptic number.

It is an amenable number.

772533 is a deficient number, since it is larger than the sum of its proper divisors (343361).

772533 is a wasteful number, since it uses less digits than its factorization.

772533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85843 (or 85840 counting only the distinct ones).

The product of its digits is 4410, while the sum is 27.

The square root of 772533 is about 878.9385644060. The cubic root of 772533 is about 91.7569593327.

The spelling of 772533 in words is "seven hundred seventy-two thousand, five hundred thirty-three".