253461 has 16 divisors (see below), whose sum is σ = 373184. Its totient is φ = 152064.

The previous prime is 253447. The next prime is 253469. The reversal of 253461 is 164352.

It is a happy number.

253461 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 253461 - 2⁹ = 252949 is a prime.

It is a Duffinian number.

Its product of digits (720) is a multiple of the sum of its prime divisors (180).

253461 is strictly pandigital in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2565 + ... + 2661.

It is an arithmetic number, because the mean of its divisors is an integer number (23324).

2²⁵³⁴⁶¹ is an apocalyptic number.

253461 is the 291-st octagonal number.

It is an amenable number.

253461 is a deficient number, since it is larger than the sum of its proper divisors (119723).

253461 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 253461 = (425613)₉.

253461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180.

The product of its digits is 720, while the sum is 21.

The square root of 253461 is about 503.4491036838. The cubic root of 253461 is about 63.2854269915.

It can be divided in two parts, 25 and 3461, that added together give a triangular number (3486 = T₈₃).

The spelling of 253461 in words is "two hundred fifty-three thousand, four hundred sixty-one".