772233 has 16 divisors (see below), whose sum is σ = 1284096. Its totient is φ = 401040.

The previous prime is 772231. The next prime is 772273. The reversal of 772233 is 332277.

It is not a de Polignac number, because 772233 - 2¹ = 772231 is a prime.

772233 is a lucky number.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (772231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1441 + ... + 1902.

It is an arithmetic number, because the mean of its divisors is an integer number (80256).

2⁷⁷²²³³ is an apocalyptic number.

It is an amenable number.

772233 is a deficient number, since it is larger than the sum of its proper divisors (511863).

772233 is a wasteful number, since it uses less digits than its factorization.

772233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364.

The product of its digits is 1764, while the sum is 24.

The square root of 772233 is about 878.7678874424. The cubic root of 772233 is about 91.7450803788.

The spelling of 772233 in words is "seven hundred seventy-two thousand, two hundred thirty-three".