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2972001 = 33131957
BaseRepresentation
bin1011010101100101100001
312120222211010
423111211201
51230101001
6143411133
734155504
oct13254541
95528733
102972001
11174a9aa
12bb3aa9
138009a6
1457513b
153da8d6
hex2d5961

2972001 has 8 divisors (see below), whose sum is σ = 4090624. Its totient is φ = 1917360.

The previous prime is 2971993. The next prime is 2972027. The reversal of 2972001 is 1002792.

It is a happy number.

2972001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2972001 - 23 = 2971993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2972041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15886 + ... + 16071.

It is an arithmetic number, because the mean of its divisors is an integer number (511328).

22972001 is an apocalyptic number.

It is an amenable number.

2972001 is a deficient number, since it is larger than the sum of its proper divisors (1118623).

2972001 is a wasteful number, since it uses less digits than its factorization.

2972001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31991.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 2972001 is about 1723.9492451926. The cubic root of 2972001 is about 143.7748700511.

Adding to 2972001 its reverse (1002792), we get a palindrome (3974793).

The spelling of 2972001 in words is "two million, nine hundred seventy-two thousand, one".

Divisors: 1 3 31 93 31957 95871 990667 2972001