33985147 has 16 divisors (see below), whose sum is σ = 39716352. Its totient is φ = 28480320.

The previous prime is 33985141. The next prime is 33985153. The reversal of 33985147 is 74158933.

It is an interprime number because it is at equal distance from previous prime (33985141) and next prime (33985153).

It is a cyclic number.

It is not a de Polignac number, because 33985147 - 2³ = 33985139 is a prime.

It is a super-2 number, since 2×33985147² = 2309980433223218, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33985141) 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, 109122 + ... + 109432.

It is an arithmetic number, because the mean of its divisors is an integer number (2482272).

Almost surely, 2^33985147 is an apocalyptic number.

33985147 is a deficient number, since it is larger than the sum of its proper divisors (5731205).

33985147 is a wasteful number, since it uses less digits than its factorization.

33985147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618.

The product of its digits is 90720, while the sum is 40.

The square root of 33985147 is about 5829.6781214746. The cubic root of 33985147 is about 323.9139987919.

The spelling of 33985147 in words is "thirty-three million, nine hundred eighty-five thousand, one hundred forty-seven".