84001617 has 20 divisors (see below), whose sum is σ = 143411136. Its totient is φ = 48000600.

The previous prime is 84001571. The next prime is 84001633. The reversal of 84001617 is 71610048.

It is a happy number.

84001617 is a `hidden beast` number, since 8 + 40 + 0 + 1 + 617 = 666.

It is not a de Polignac number, because 84001617 - 2⁶ = 84001553 is a prime.

It is a super-2 number, since 2×84001617² = 14112543317229378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

84001617 is a modest number, since divided by 1617 gives 84 as remainder.

It is not an unprimeable number, because it can be changed into a prime (84001637) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73509 + ... + 74642.

Almost surely, 2^84001617 is an apocalyptic number.

It is an amenable number.

84001617 is a deficient number, since it is larger than the sum of its proper divisors (59409519).

84001617 is a wasteful number, since it uses less digits than its factorization.

84001617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148170 (or 148161 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 84001617 is about 9165.2396040693. The cubic root of 84001617 is about 437.9547241622.

The spelling of 84001617 in words is "eighty-four million, one thousand, six hundred seventeen".