71870033 has 16 divisors (see below), whose sum is σ = 79840080. Its totient is φ = 64382976.

The previous prime is 71870023. The next prime is 71870069. The reversal of 71870033 is 33007817.

It can be written as a sum of positive squares in 8 ways, for example, as 1024144 + 70845889 = 1012^2 + 8417^2 .

It is a cyclic number.

It is not a de Polignac number, because 71870033 - 2⁶ = 71869969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 71869978 and 71870005.

It is not an unprimeable number, because it can be changed into a prime (71870023) 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, 34991 + ... + 36987.

It is an arithmetic number, because the mean of its divisors is an integer number (4990005).

Almost surely, 2^71870033 is an apocalyptic number.

71870033 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

71870033 is a deficient number, since it is larger than the sum of its proper divisors (7970047).

71870033 is a wasteful number, since it uses less digits than its factorization.

71870033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116.

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 71870033 is about 8477.6195361670. The cubic root of 71870033 is about 415.7662969416.

The spelling of 71870033 in words is "seventy-one million, eight hundred seventy thousand, thirty-three".