4201516 has 48 divisors (see below), whose sum is σ = 8763552. Its totient is φ = 1740800.

The previous prime is 4201513. The next prime is 4201529. The reversal of 4201516 is 6151024.

It is a junction number, because it is equal to n+sod(n) for n = 4201493 and 4201502.

It is not an unprimeable number, because it can be changed into a prime (4201513) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30600 + ... + 30736.

It is an arithmetic number, because the mean of its divisors is an integer number (182574).

Almost surely, 2^4201516 is an apocalyptic number.

4201516 is the 1096-th nonagonal number.

It is an amenable number.

4201516 is an abundant number, since it is smaller than the sum of its proper divisors (4562036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4201516 is a wasteful number, since it uses less digits than its factorization.

4201516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 4201516 is about 2049.7599859496. The cubic root of 4201516 is about 161.3622746310.

It can be divided in two parts, 420 and 1516, that added together give a square (1936 = 44²).

The spelling of 4201516 in words is "four million, two hundred one thousand, five hundred sixteen".