772993 has 8 divisors (see below), whose sum is σ = 842408. Its totient is φ = 705024.

The previous prime is 772991. The next prime is 773021. The reversal of 772993 is 399277.

772993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 744769 = 168^2 + 863^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 772993 - 2¹ = 772991 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (772991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 955 + ... + 1567.

It is an arithmetic number, because the mean of its divisors is an integer number (105301).

2⁷⁷²⁹⁹³ is an apocalyptic number.

It is an amenable number.

772993 is a deficient number, since it is larger than the sum of its proper divisors (69415).

772993 is a wasteful number, since it uses less digits than its factorization.

772993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723.

The product of its digits is 23814, while the sum is 37.

The square root of 772993 is about 879.2002047316. The cubic root of 772993 is about 91.7751677573.

The spelling of 772993 in words is "seven hundred seventy-two thousand, nine hundred ninety-three".