6005961 has 32 divisors (see below), whose sum is σ = 9757440. Its totient is φ = 3628800.

The previous prime is 6005953. The next prime is 6006029. The reversal of 6005961 is 1695006.

6005961 is a `hidden beast` number, since 600 + 59 + 6 + 1 = 666.

It is not a de Polignac number, because 6005961 - 2³ = 6005953 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (6005911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24801 + ... + 25041.

It is an arithmetic number, because the mean of its divisors is an integer number (304920).

Almost surely, 2^6005961 is an apocalyptic number.

It is an amenable number.

6005961 is a deficient number, since it is larger than the sum of its proper divisors (3751479).

6005961 is a wasteful number, since it uses less digits than its factorization.

6005961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 6005961 is about 2450.7062247442. The cubic root of 6005961 is about 181.7722163426.

It can be divided in two parts, 600 and 5961, that added together give a 8-th power (6561 = 3⁸).

The spelling of 6005961 in words is "six million, five thousand, nine hundred sixty-one".