61295 has 16 divisors (see below), whose sum is σ = 84672. Its totient is φ = 42240.

The previous prime is 61291. The next prime is 61297. The reversal of 61295 is 59216.

It is not a de Polignac number, because 61295 - 2² = 61291 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 61295.

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 61295.

It is not an unprimeable number, because it can be changed into a prime (61291) 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 15 ways as a sum of consecutive naturals, for example, 1475 + ... + 1515.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2⁶¹²⁹⁵ is an apocalyptic number.

61295 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

61295 is a deficient number, since it is larger than the sum of its proper divisors (23377).

61295 is a wasteful number, since it uses less digits than its factorization.

61295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82.

The product of its digits is 540, while the sum is 23.

The square root of 61295 is about 247.5782704520. The cubic root of 61295 is about 39.4283270056.

It can be divided in two parts, 612 and 95, that added together give a palindrome (707).

The spelling of 61295 in words is "sixty-one thousand, two hundred ninety-five".