71607 has 4 divisors (see below), whose sum is σ = 95480. Its totient is φ = 47736.

The previous prime is 71597. The next prime is 71633. The reversal of 71607 is 70617.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 70617 = 3 ⋅23539.

It is not a de Polignac number, because 71607 - 2⁷ = 71479 is a prime.

It is a D-number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11932 + ... + 11937.

It is an arithmetic number, because the mean of its divisors is an integer number (23870).

2⁷¹⁶⁰⁷ is an apocalyptic number.

71607 is a deficient number, since it is larger than the sum of its proper divisors (23873).

71607 is a wasteful number, since it uses less digits than its factorization.

71607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23872.

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 71607 is about 267.5948429996. The cubic root of 71607 is about 41.5258463855.

Subtracting from 71607 its reverse (70617), we obtain a triangular number (990 = T₄₄).

The spelling of 71607 in words is "seventy-one thousand, six hundred seven".