772193 has 4 divisors (see below), whose sum is σ = 776388. Its totient is φ = 768000.

The previous prime is 772181. The next prime is 772207. The reversal of 772193 is 391277.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 391277 = 373 ⋅1049.

It can be written as a sum of positive squares in 2 ways, for example, as 94864 + 677329 = 308^2 + 823^2 .

It is a cyclic number.

It is not a de Polignac number, because 772193 - 2⁸ = 771937 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (772393) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1808 + ... + 2193.

It is an arithmetic number, because the mean of its divisors is an integer number (194097).

2⁷⁷²¹⁹³ is an apocalyptic number.

It is an amenable number.

772193 is a deficient number, since it is larger than the sum of its proper divisors (4195).

772193 is a wasteful number, since it uses less digits than its factorization.

772193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194.

The product of its digits is 2646, while the sum is 29.

The square root of 772193 is about 878.7451280093. The cubic root of 772193 is about 91.7434962858.

It can be divided in two parts, 772 and 193, that multiplied together give a square (148996 = 386²).

The spelling of 772193 in words is "seven hundred seventy-two thousand, one hundred ninety-three".