1071657 has 16 divisors (see below), whose sum is σ = 1672000. Its totient is φ = 676512.

The previous prime is 1071643. The next prime is 1071659. The reversal of 1071657 is 7561701.

1071657 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 657 = 666.

It is not a de Polignac number, because 1071657 - 2⁴ = 1071641 is a prime.

It is a super-2 number, since 2×1071657² = 2296897451298, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1071657.

It is not an unprimeable number, because it can be changed into a prime (1071659) 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, 532 + ... + 1557.

It is an arithmetic number, because the mean of its divisors is an integer number (104500).

2^1071657 is an apocalyptic number.

It is an amenable number.

1071657 is a deficient number, since it is larger than the sum of its proper divisors (600343).

1071657 is a wasteful number, since it uses less digits than its factorization.

1071657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 1071657 is about 1035.2086746159. The cubic root of 1071657 is about 102.3336822896. Note that the first 3 decimals are identical.

It can be divided in two parts, 1071 and 657, that added together give a cube (1728 = 12³).

The spelling of 1071657 in words is "one million, seventy-one thousand, six hundred fifty-seven".