1582 has 8 divisors (see below), whose sum is σ = 2736. Its totient is φ = 672.

The previous prime is 1579. The next prime is 1583. The reversal of 1582 is 2851.

It is a happy number.

1582 is nontrivially palindromic in base 12, base 13 and base 15.

1582 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

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

1582 is an undulating number in base 12, base 13 and base 15.

It is a nialpdrome in base 7 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1583) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43 + ... + 70.

It is an arithmetic number, because the mean of its divisors is an integer number (342).

1582 is a deficient number, since it is larger than the sum of its proper divisors (1154).

1582 is a wasteful number, since it uses less digits than its factorization.

1582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122.

The product of its digits is 80, while the sum is 16.

The square root of 1582 is about 39.7743636027. The cubic root of 1582 is about 11.6520451750.

The spelling of 1582 in words is "one thousand, five hundred eighty-two".