1077057 has 10 divisors (see below), whose sum is σ = 1609058. Its totient is φ = 717984.

The previous prime is 1077047. The next prime is 1077059. The reversal of 1077057 is 7507701.

It can be written as a sum of positive squares in only one way, i.e., 571536 + 505521 = 756^2 + 711^2 .

It is not a de Polignac number, because 1077057 - 2¹² = 1072961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1077057.

It is not an unprimeable number, because it can be changed into a prime (1077059) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6568 + ... + 6729.

2^1077057 is an apocalyptic number.

It is an amenable number.

1077057 is a deficient number, since it is larger than the sum of its proper divisors (532001).

1077057 is an equidigital number, since it uses as much as digits as its factorization.

1077057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13309 (or 13300 counting only the distinct ones).

The product of its (nonzero) digits is 1715, while the sum is 27.

The square root of 1077057 is about 1037.8135670726. The cubic root of 1077057 is about 102.5052783322.

The spelling of 1077057 in words is "one million, seventy-seven thousand, fifty-seven".