364101641 has 8 divisors (see below), whose sum is σ = 378614280. Its totient is φ = 349719552.

The previous prime is 364101637. The next prime is 364101643. The reversal of 364101641 is 146101463.

It can be written as a sum of positive squares in 4 ways, for example, as 246016 + 363855625 = 496^2 + 19075^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 364101641 - 2² = 364101637 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 364101641.

It is not an unprimeable number, because it can be changed into a prime (364101643) 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, 26930 + ... + 38123.

It is an arithmetic number, because the mean of its divisors is an integer number (47326785).

Almost surely, 2^364101641 is an apocalyptic number.

It is an amenable number.

364101641 is a deficient number, since it is larger than the sum of its proper divisors (14512639).

364101641 is a wasteful number, since it uses less digits than its factorization.

364101641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65275.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 364101641 is about 19081.4475603923. The cubic root of 364101641 is about 714.0701499285.

The spelling of 364101641 in words is "three hundred sixty-four million, one hundred one thousand, six hundred forty-one".