801057 has 16 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 494592.

The previous prime is 801037. The next prime is 801061. The reversal of 801057 is 750108.

It is a happy number.

It is not a de Polignac number, because 801057 - 2⁶ = 800993 is a prime.

It is an Ulam number.

801057 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (801007) 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, 5694 + ... + 5832.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

2⁸⁰¹⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

801057 is a deficient number, since it is larger than the sum of its proper divisors (348063).

801057 is a wasteful number, since it uses less digits than its factorization.

801057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272.

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 801057 is about 895.0178769164. The cubic root of 801057 is about 92.8726433408.

The spelling of 801057 in words is "eight hundred one thousand, fifty-seven".