157627 has 2 divisors, whose sum is σ = 157628. Its totient is φ = 157626.

The previous prime is 157579. The next prime is 157637. The reversal of 157627 is 726751.

157627 is nontrivially palindromic in base 12.

It is a strong prime.

It is an emirp because it is prime and its reverse (726751) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 157627 - 2¹¹ = 155579 is a prime.

It is a super-2 number, since 2×157627² = 49692542258, which contains 22 as substring.

It is a Chen prime.

157627 is a lucky number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 157595 and 157604.

It is not a weakly prime, because it can be changed into another prime (157637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78813 + 78814.

It is an arithmetic number, because the mean of its divisors is an integer number (78814).

2¹⁵⁷⁶²⁷ is an apocalyptic number.

157627 is a deficient number, since it is larger than the sum of its proper divisors (1).

157627 is an equidigital number, since it uses as much as digits as its factorization.

157627 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2940, while the sum is 28.

The square root of 157627 is about 397.0226693780. The cubic root of 157627 is about 54.0186264048.

It can be divided in two parts, 157 and 627, that added together give a square (784 = 28²).

The spelling of 157627 in words is "one hundred fifty-seven thousand, six hundred twenty-seven".