10614 has 16 divisors (see below), whose sum is σ = 22320. Its totient is φ = 3360.

The previous prime is 10613. The next prime is 10627. The reversal of 10614 is 41601.

10614 = T₄₄ + T₄₅ + ... + T₅₂.

10614 = 50² + 51² + ... + 53².

It is a super-2 number, since 2×10614² = 225313992, which contains 22 as substring.

10614 is an undulating number in base 11.

It is a plaindrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 10614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144 + ... + 204.

It is an arithmetic number, because the mean of its divisors is an integer number (1395).

2¹⁰⁶¹⁴ is an apocalyptic number.

10614 is an abundant number, since it is smaller than the sum of its proper divisors (11706).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11160).

10614 is a wasteful number, since it uses less digits than its factorization.

10614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10614 is about 103.0242689855. The cubic root of 10614 is about 21.9765590546.

It can be divided in two parts, 106 and 14, that added together give a triangular number (120 = T₁₅).

The spelling of 10614 in words is "ten thousand, six hundred fourteen".