10167641 has 8 divisors (see below), whose sum is σ = 11676000. Its totient is φ = 8756640.

The previous prime is 10167623. The next prime is 10167653. The reversal of 10167641 is 14676101.

10167641 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 a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10167641 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10167641.

It is not an unprimeable number, because it can be changed into a prime (10167601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24116 + ... + 24533.

It is an arithmetic number, because the mean of its divisors is an integer number (1459500).

Almost surely, 2^10167641 is an apocalyptic number.

10167641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10167641 is a deficient number, since it is larger than the sum of its proper divisors (1508359).

10167641 is a wasteful number, since it uses less digits than its factorization.

10167641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48679.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 10167641 is about 3188.6738622819. The cubic root of 10167641 is about 216.6407087903.

The spelling of 10167641 in words is "ten million, one hundred sixty-seven thousand, six hundred forty-one".