146801617 has 16 divisors (see below), whose sum is σ = 156764160. Its totient is φ = 137170000.

The previous prime is 146801591. The next prime is 146801621. The reversal of 146801617 is 716108641.

It is a cyclic number.

It is not a de Polignac number, because 146801617 - 2²⁷ = 12583889 is a prime.

It is a super-4 number, since 4×146801617⁴ (a number of 34 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146801717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340392 + ... + 340822.

It is an arithmetic number, because the mean of its divisors is an integer number (9797760).

Almost surely, 2^146801617 is an apocalyptic number.

It is an amenable number.

146801617 is a deficient number, since it is larger than the sum of its proper divisors (9962543).

146801617 is a wasteful number, since it uses less digits than its factorization.

146801617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764.

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 146801617 is about 12116.1717138707. The cubic root of 146801617 is about 527.5256886481.

The spelling of 146801617 in words is "one hundred forty-six million, eight hundred one thousand, six hundred seventeen".