715461 has 8 divisors (see below), whose sum is σ = 995520. Its totient is φ = 456192.

The previous prime is 715457. The next prime is 715489. The reversal of 715461 is 164517.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 715461 - 2² = 715457 is a prime.

715461 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 715461.

It is not an unprimeable number, because it can be changed into a prime (715441) 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 7 ways as a sum of consecutive naturals, for example, 5116 + ... + 5253.

It is an arithmetic number, because the mean of its divisors is an integer number (124440).

2⁷¹⁵⁴⁶¹ is an apocalyptic number.

It is an amenable number.

715461 is a deficient number, since it is larger than the sum of its proper divisors (280059).

715461 is a wasteful number, since it uses less digits than its factorization.

715461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10395.

The product of its digits is 840, while the sum is 24.

The square root of 715461 is about 845.8492773538. The cubic root of 715461 is about 89.4393542734.

Adding to 715461 its reverse (164517), we get a palindrome (879978).

It can be divided in two parts, 715 and 461, that added together give a triangular number (1176 = T₄₈).

The spelling of 715461 in words is "seven hundred fifteen thousand, four hundred sixty-one".