971407 has 4 divisors (see below), whose sum is σ = 976536. Its totient is φ = 966280.

The previous prime is 971401. The next prime is 971419. The reversal of 971407 is 704179.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 971407 - 2⁷ = 971279 is a prime.

It is a Duffinian number.

971407 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2269 + ... + 2662.

It is an arithmetic number, because the mean of its divisors is an integer number (244134).

2⁹⁷¹⁴⁰⁷ is an apocalyptic number.

971407 is a deficient number, since it is larger than the sum of its proper divisors (5129).

971407 is a wasteful number, since it uses less digits than its factorization.

971407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128.

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 971407 is about 985.5998173701. The cubic root of 971407 is about 99.0376688950.

It can be divided in two parts, 971 and 407, that added together give a triangular number (1378 = T₅₂).

The spelling of 971407 in words is "nine hundred seventy-one thousand, four hundred seven".