253629 has 6 divisors (see below), whose sum is σ = 366366. Its totient is φ = 169080.

The previous prime is 253613. The next prime is 253633. The reversal of 253629 is 926352.

It can be written as a sum of positive squares in only one way, i.e., 248004 + 5625 = 498^2 + 75^2 .

It is not a de Polignac number, because 253629 - 2⁴ = 253613 is a prime.

It is a d-powerful number, because it can be written as 2⁸ + 5⁶ + 6⁴ + 3¹¹ + 2⁸ + 9⁵ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 253629.

It is not an unprimeable number, because it can be changed into a prime (253609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14082 + ... + 14099.

It is an arithmetic number, because the mean of its divisors is an integer number (61061).

2²⁵³⁶²⁹ is an apocalyptic number.

It is an amenable number.

253629 is a deficient number, since it is larger than the sum of its proper divisors (112737).

253629 is a wasteful number, since it uses less digits than its factorization.

253629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28187 (or 28184 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 253629 is about 503.6159250858. The cubic root of 253629 is about 63.2994062671.

The spelling of 253629 in words is "two hundred fifty-three thousand, six hundred twenty-nine".