42515 has 8 divisors (see below), whose sum is σ = 55728. Its totient is φ = 30880.

The previous prime is 42509. The next prime is 42533. The reversal of 42515 is 51524.

42515 = 33^{2} + 34^{2} + ... + 54^{2}.

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

It is not a de Polignac number, because 42515 - 2^{4} = 42499 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 42493 and 42502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 332 + ... + 441.

It is an arithmetic number, because the mean of its divisors is an integer number (6966).

2^{42515} is an apocalyptic number.

42515 is a deficient number, since it is larger than the sum of its proper divisors (13213).

42515 is a wasteful number, since it uses less digits than its factorization.

42515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789.

The product of its digits is 200, while the sum is 17.

The square root of 42515 is about 206.1916584152. The cubic root of 42515 is about 34.9017653587.

Subtracting 42515 from its reverse (51524), we obtain a palindrome (9009).

The spelling of 42515 in words is "forty-two thousand, five hundred fifteen".

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