4084164975 has 48 divisors (see below), whose sum is σ = 7620405120. Its totient is φ = 1911907200.

The previous prime is 4084164941. The next prime is 4084165009. The reversal of 4084164975 is 5794614804.

It is an interprime number because it is at equal distance from previous prime (4084164941) and next prime (4084165009).

It is not a de Polignac number, because 4084164975 - 2⁶ = 4084164911 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61429 + ... + 109278.

It is an arithmetic number, because the mean of its divisors is an integer number (158758440).

Almost surely, 2^4084164975 is an apocalyptic number.

4084164975 is a deficient number, since it is larger than the sum of its proper divisors (3536240145).

4084164975 is a wasteful number, since it uses less digits than its factorization.

4084164975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170760 (or 170755 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 4084164975 is about 63907.4719809820. The cubic root of 4084164975 is about 1598.4574945207.

The spelling of 4084164975 in words is "four billion, eighty-four million, one hundred sixty-four thousand, nine hundred seventy-five".