153567 has 12 divisors (see below), whose sum is σ = 225264. Its totient is φ = 100800.

The previous prime is 153563. The next prime is 153589. The reversal of 153567 is 765351.

It is not a de Polignac number, because 153567 - 2² = 153563 is a prime.

153567 is a lucky number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 153567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 942 + ... + 1092.

It is an arithmetic number, because the mean of its divisors is an integer number (18772).

2¹⁵³⁵⁶⁷ is an apocalyptic number.

153567 is a deficient number, since it is larger than the sum of its proper divisors (71697).

153567 is a wasteful number, since it uses less digits than its factorization.

153567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 267 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 153567 is about 391.8762559788. The cubic root of 153567 is about 53.5508004389.

The spelling of 153567 in words is "one hundred fifty-three thousand, five hundred sixty-seven".