61257 has 8 divisors (see below), whose sum is σ = 93376. Its totient is φ = 34992.

The previous prime is 61253. The next prime is 61261. The reversal of 61257 is 75216.

It is an interprime number because it is at equal distance from previous prime (61253) and next prime (61261).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 61257 - 2² = 61253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 2917 = 61257 / (6 + 1 + 2 + 5 + 7).

It is the 248-th Hogben number.

It is a Duffinian number.

61257 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (61253) by changing a digit.

It is a nontrivial repunit in base 247.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1438 + ... + 1479.

It is an arithmetic number, because the mean of its divisors is an integer number (11672).

2⁶¹²⁵⁷ is an apocalyptic number.

It is an amenable number.

61257 is a deficient number, since it is larger than the sum of its proper divisors (32119).

61257 is a wasteful number, since it uses less digits than its factorization.

61257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927.

The product of its digits is 420, while the sum is 21.

The square root of 61257 is about 247.5015151469. The cubic root of 61257 is about 39.4201774222.

It can be divided in two parts, 6125 and 7, that multiplied together give a cube (42875 = 35³).

The spelling of 61257 in words is "sixty-one thousand, two hundred fifty-seven".