167527 has 4 divisors (see below), whose sum is σ = 168480. Its totient is φ = 166576.

The previous prime is 167521. The next prime is 167537. The reversal of 167527 is 725761.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 725761 = 293 ⋅2477.

It is a cyclic number.

It is not a de Polignac number, because 167527 - 2¹¹ = 165479 is a prime.

It is a Duffinian number.

167527 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 167495 and 167504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167521) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127 + ... + 592.

It is an arithmetic number, because the mean of its divisors is an integer number (42120).

2¹⁶⁷⁵²⁷ is an apocalyptic number.

167527 is a deficient number, since it is larger than the sum of its proper divisors (953).

167527 is an equidigital number, since it uses as much as digits as its factorization.

167527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952.

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

The square root of 167527 is about 409.3006230144. The cubic root of 167527 is about 55.1266502832.

It can be divided in two parts, 1 and 67527, that added together give a triangular number (67528 = T₃₆₇).

The spelling of 167527 in words is "one hundred sixty-seven thousand, five hundred twenty-seven".