34016827 has 24 divisors (see below), whose sum is σ = 39164928. Its totient is φ = 29484000.

The previous prime is 34016819. The next prime is 34016837. The reversal of 34016827 is 72861043.

It is not a de Polignac number, because 34016827 - 2³ = 34016819 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34016837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225202 + ... + 225352.

It is an arithmetic number, because the mean of its divisors is an integer number (1631872).

Almost surely, 2^34016827 is an apocalyptic number.

34016827 is a deficient number, since it is larger than the sum of its proper divisors (5148101).

34016827 is a wasteful number, since it uses less digits than its factorization.

34016827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 34016827 is about 5832.3946197081. The cubic root of 34016827 is about 324.0146153799.

It can be divided in two parts, 34016 and 827, that added together give a palindrome (34843).

The spelling of 34016827 in words is "thirty-four million, sixteen thousand, eight hundred twenty-seven".