61858225 has 45 divisors (see below), whose sum is σ = 91363665. Its totient is φ = 41527200.

The previous prime is 61858187. The next prime is 61858231. The reversal of 61858225 is 52285816.

The square root of 61858225 is 7865.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 15944049 + 45914176 = 3993^2 + 6776^2 .

It is not a de Polignac number, because 61858225 - 2¹⁵ = 61825457 is a prime.

Its product of digits (38400) is a multiple of the sum of its prime factors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4758319 + ... + 4758331.

Almost surely, 2^61858225 is an apocalyptic number.

61858225 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

61858225 is the 7865-th square number.

61858225 is the 3933-rd centered octagonal number.

It is an amenable number.

61858225 is a deficient number, since it is larger than the sum of its proper divisors (29505440).

61858225 is an equidigital number, since it uses as much as digits as its factorization.

61858225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 29 counting only the distinct ones).

The product of its digits is 38400, while the sum is 37.

The cubic root of 61858225 is about 395.4872478831.

The spelling of 61858225 in words is "sixty-one million, eight hundred fifty-eight thousand, two hundred twenty-five".