1057145667 has 12 divisors (see below), whose sum is σ = 1440164616. Its totient is φ = 689764480.

The previous prime is 1057145627. The next prime is 1057145707. The reversal of 1057145667 is 7665417501.

It is an interprime number because it is at equal distance from previous prime (1057145627) and next prime (1057145707).

It is a de Polignac number, because none of the positive numbers 2^k-1057145667 is a prime.

It is a super-2 number, since 2×1057145667² = 2235113922513749778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057145627) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73134 + ... + 86387.

It is an arithmetic number, because the mean of its divisors is an integer number (120013718).

Almost surely, 2^1057145667 is an apocalyptic number.

1057145667 is a deficient number, since it is larger than the sum of its proper divisors (383018949).

1057145667 is an equidigital number, since it uses as much as digits as its factorization.

1057145667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159618 (or 159571 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 1057145667 is about 32513.7765724008. The cubic root of 1057145667 is about 1018.6968064765.

The spelling of 1057145667 in words is "one billion, fifty-seven million, one hundred forty-five thousand, six hundred sixty-seven".