857007 has 8 divisors (see below), whose sum is σ = 1269680. Its totient is φ = 571320.

The previous prime is 856993. The next prime is 857009. The reversal of 857007 is 700758.

It is not a de Polignac number, because 857007 - 2⁶ = 856943 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 31741 = 857007 / (8 + 5 + 7 + 0 + 0 + 7).

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 857007.

It is not an unprimeable number, because it can be changed into a prime (857009) 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, 15844 + ... + 15897.

It is an arithmetic number, because the mean of its divisors is an integer number (158710).

2⁸⁵⁷⁰⁰⁷ is an apocalyptic number.

857007 is a deficient number, since it is larger than the sum of its proper divisors (412673).

857007 is a wasteful number, since it uses less digits than its factorization.

857007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31750 (or 31744 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 857007 is about 925.7467256221. The cubic root of 857007 is about 94.9864061805.

It can be divided in two parts, 85 and 7007, that multiplied together give a palindrome (595595).

The spelling of 857007 in words is "eight hundred fifty-seven thousand, seven".