61331900 has 72 divisors (see below), whose sum is σ = 155885856. Its totient is φ = 20505600.

The previous prime is 61331873. The next prime is 61331927. The reversal of 61331900 is 913316.

It is an interprime number because it is at equal distance from previous prime (61331873) and next prime (61331927).

It is a super-2 number, since 2×61331900² = 7523203915220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27632 + ... + 29768.

Almost surely, 2^61331900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61331900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77942928).

61331900 is an abundant number, since it is smaller than the sum of its proper divisors (94553956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61331900 is a wasteful number, since it uses less digits than its factorization.

61331900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 61331900 is about 7831.4685723688. The cubic root of 61331900 is about 394.3623745731.

The spelling of 61331900 in words is "sixty-one million, three hundred thirty-one thousand, nine hundred".