83609214 has 32 divisors (see below), whose sum is σ = 181881504. Its totient is φ = 25468800.

The previous prime is 83609189. The next prime is 83609219. The reversal of 83609214 is 41290638.

83609214 = 167² + 168² + ... + 634².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83609219) 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, 2572 + ... + 13184.

It is an arithmetic number, because the mean of its divisors is an integer number (5683797).

Almost surely, 2^83609214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83609214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90940752).

83609214 is an abundant number, since it is smaller than the sum of its proper divisors (98272290).

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

83609214 is a wasteful number, since it uses less digits than its factorization.

83609214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10732.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 83609214 is about 9143.8074126701. The cubic root of 83609214 is about 437.2717093596.

The spelling of 83609214 in words is "eighty-three million, six hundred nine thousand, two hundred fourteen".