601315 has 24 divisors (see below), whose sum is σ = 877968. Its totient is φ = 389760.

The previous prime is 601313. The next prime is 601319. The reversal of 601315 is 513106.

601315 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 601315 - 2¹ = 601313 is a prime.

601315 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (601313) 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, 20721 + ... + 20749.

It is an arithmetic number, because the mean of its divisors is an integer number (36582).

2⁶⁰¹³¹⁵ is an apocalyptic number.

601315 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

601315 is a deficient number, since it is larger than the sum of its proper divisors (276653).

601315 is a wasteful number, since it uses less digits than its factorization.

601315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 601315 is about 775.4450335130. The cubic root of 601315 is about 84.4048390119.

Subtracting from 601315 its reverse (513106), we obtain a square (88209 = 297²).

The spelling of 601315 in words is "six hundred one thousand, three hundred fifteen".