164034507 has 24 divisors (see below), whose sum is σ = 273994896. Its totient is φ = 86522688.

The previous prime is 164034491. The next prime is 164034553. The reversal of 164034507 is 705430461.

It is not a de Polignac number, because 164034507 - 2⁴ = 164034491 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164034007) 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, 41008 + ... + 44829.

It is an arithmetic number, because the mean of its divisors is an integer number (11416454).

Almost surely, 2^164034507 is an apocalyptic number.

164034507 is a deficient number, since it is larger than the sum of its proper divisors (109960389).

164034507 is a wasteful number, since it uses less digits than its factorization.

164034507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85867 (or 85860 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 164034507 is about 12807.5956760041. The cubic root of 164034507 is about 547.4087552536.

Adding to 164034507 its reverse (705430461), we get a palindrome (869464968).

It can be divided in two parts, 16403 and 4507, that added together give a triangular number (20910 = T₂₀₄).

The spelling of 164034507 in words is "one hundred sixty-four million, thirty-four thousand, five hundred seven".