61845201 has 48 divisors (see below), whose sum is σ = 107085888. Its totient is φ = 35251200.

The previous prime is 61845193. The next prime is 61845211. The reversal of 61845201 is 10254816.

61845201 is a `hidden beast` number, since 61 + 84 + 520 + 1 = 666.

It is not a de Polignac number, because 61845201 - 2³ = 61845193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61845211) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 44761 + ... + 46121.

It is an arithmetic number, because the mean of its divisors is an integer number (2230956).

Almost surely, 2^61845201 is an apocalyptic number.

It is an amenable number.

61845201 is a deficient number, since it is larger than the sum of its proper divisors (45240687).

61845201 is a wasteful number, since it uses less digits than its factorization.

61845201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 61845201 is about 7864.1719843859. The cubic root of 61845201 is about 395.4594898528.

The spelling of 61845201 in words is "sixty-one million, eight hundred forty-five thousand, two hundred one".