715041 has 16 divisors (see below), whose sum is σ = 1077120. Its totient is φ = 468720.

The previous prime is 715031. The next prime is 715049. The reversal of 715041 is 140517.

715041 = 51² + 52² + ... + 131².

It is not a de Polignac number, because 715041 - 2⁹ = 714529 is a prime.

It is a super-2 number, since 2×715041² = 1022567263362, which contains 22 as substring.

715041 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (715049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1731 + ... + 2103.

It is an arithmetic number, because the mean of its divisors is an integer number (67320).

2⁷¹⁵⁰⁴¹ is an apocalyptic number.

715041 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

715041 is a deficient number, since it is larger than the sum of its proper divisors (362079).

715041 is a wasteful number, since it uses less digits than its factorization.

715041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 715041 is about 845.6009697251. The cubic root of 715041 is about 89.4218495309.

Adding to 715041 its reverse (140517), we get a palindrome (855558).

It can be divided in two parts, 71 and 5041, that multiplied together give a cube (357911 = 71³).

The spelling of 715041 in words is "seven hundred fifteen thousand, forty-one".