8001975 has 12 divisors (see below), whose sum is σ = 13230056. Its totient is φ = 4267680.

The previous prime is 8001971. The next prime is 8001991. The reversal of 8001975 is 5791008.

It is not a de Polignac number, because 8001975 - 2² = 8001971 is a prime.

It is a Duffinian number.

8001975 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8001971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53272 + ... + 53421.

Almost surely, 2^8001975 is an apocalyptic number.

8001975 is a deficient number, since it is larger than the sum of its proper divisors (5228081).

8001975 is a wasteful number, since it uses less digits than its factorization.

8001975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106706 (or 106701 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 8001975 is about 2828.7762371739. The cubic root of 8001975 is about 200.0164569791.

It can be divided in two parts, 800 and 1975, that added together give a triangular number (2775 = T₇₄).

The spelling of 8001975 in words is "eight million, one thousand, nine hundred seventy-five".