61625 has 16 divisors (see below), whose sum is σ = 84240. Its totient is φ = 44800.

The previous prime is 61613. The next prime is 61627. The reversal of 61625 is 52616.

It can be written as a sum of positive squares in 8 ways, for example, as 11449 + 50176 = 107^2 + 224^2 .

It is not a de Polignac number, because 61625 - 2⁴ = 61609 is a prime.

It is a plaindrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 61597 and 61606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2111 + ... + 2139.

It is an arithmetic number, because the mean of its divisors is an integer number (5265).

2⁶¹⁶²⁵ is an apocalyptic number.

It is an amenable number.

61625 is a deficient number, since it is larger than the sum of its proper divisors (22615).

61625 is a wasteful number, since it uses less digits than its factorization.

61625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 51 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 61625 is about 248.2438317461. The cubic root of 61625 is about 39.4989584728.

Subtracting from 61625 its reverse (52616), we obtain a palindrome (9009).

It can be divided in two parts, 616 and 25, that multiplied together give a triangular number (15400 = T₁₇₅).

The spelling of 61625 in words is "sixty-one thousand, six hundred twenty-five".